Other presentation : list.
| Category | Journal/University | Title | Co-authors | Pages | Files | Size |
| Exposé de fin de 1ère année à l'ENS. | Le spectre d'une variété riemannienne | Laurent Berger | 11 | Zipped Postscript | 82 KB | |
| Mémoire de DEA | Petites copies de l'ensemble de Mandelbrot dans les éléphants | 31 | Zipped Postscript Zipped Postscript |
1290 KB 120 KB |
||
| Article | Revue des Mathématiques de l'enseignement Supérieur, Avril 1999 | Fractions rationnelles associatives et corps quadratiques | 18 | Zipped Postscript | 143 KB | |
| Prépublication | Orsay, n° 99-77, 1999 | Estimates on the speed of explosion of the parabolic fixed points of quadratic polynomials and applications | 24 | Zipped Postscript | 388 KB | |
| Thèse, Orsay, décembre 2001 | Orsay, décembre 2001 | Recherche d'ensembles de Julia de mesure de Lebesgue positive | 227 | Zipped Postscript Zipped Postscript |
3663 KB 4287 KB 492 KB |
|
| " | Errata | 1 | Postscript | 134 KB | ||
| Addendum à la thèse | arXiv math.DS/0306375 | Cage de Faraday | 13 | Zipped Postscript | 88 KB | |
| Prépublication | Toulouse III, n°242, mai 2002 | Quadratic Siegel disks with smooth boundaries | Xavier Buff | 26 | Gzipped Postscript | 370 KB |
| Article | Acta Mathematica, 2004, [Vol. 193, pp 1-30] | Siegel disks with smooth boundaries |
Artur Avila
Xavier Buff |
25 | Postscript | 380 KB |
| Note aux CRAS | Comptes Rendus Mathématiques, 2002, [n°334/12, pp. 1107-1112] | Sur la vitesse d'explosion des points fixes paraboliques dans la famille quadratique | 6 | Zipped Postscript | 68 KB | |
| Prépublication | Toulouse III, n°267, mai 2003 (arXiv math.DS/0305080) | On the size of quadratic Siegel disks. Part I | Xavier Buff | 20 | Zipped Postscript | 225 KB |
| Article | Inventiones Mathematicae, april 2004, [Vol. 156/1, pp. 1-24]. | Upper bound for the size of quadratic Siegel disks | Xavier Buff | 20 | Gzipped Postscript | 121 KB |
| Article | Conformal Geometry & Dynamics, 2006 [Vol 10, pp. 227-256] | Ghys-like models for Lavaurs and simple entire maps | 32 | Zipped Postscript | 660 KB | |
| Pré-article | arXiv math.DS/0309067 | Quadratic Siegel disks with rough boundaries | Xavier Buff | 9 | Zipped Postscript | 162 KB |
| Article | Proceedings of the AMS, 2007 [Vol 135, pp. 1073-1080] | How regular can the boundary of a quadratic Siegel disk be? | Xavier Buff | 6 | Zipped Postscript | 142 KB |
| Article | Annals of Mathematics, 2006 [Vol 164/1, pp. 265-312] | The Brjuno Function Continuously Estimates the Size of Siegel Disks | Xavier Buff | 32 | Gzipped Postscript | 429 KB |
| Note aux CRAS | Comptes Rendus Mathématiques, 2004, [n°338/4, pp. 301-304] | Une nouvelle preuve d'un théorème de Yoccoz | 4 | |||
| In Proceedings | Dynamics on the Riemann Sphere (a Bodil Branner Festschrift), EMS, 2006 | Parabolic explosion and the size of Siegel disks in the quadratic family | 6 | Zipped Postscript Zipped Postscript |
214 KB 127 KB |
|
| Pré-article | arXiv math.DS/0409384 | The measure of quadratic Julia-Lavaurs sets with a bounded type virtual Siegel disk is zero | 13 | Gzipped PDF | 207 KB | |
| Pré-article | arXiv math.DS/0410003 | Ghys-like models providing trick for a class of simple maps | 32 | Zipped Postscript | 592 KB | |
| Pré-article | arXiv math.DS/0507250 | Semi-continuity of Siegel disks under parabolic implosion | 9 | Gzipped PDF | 254 KB | |
| Note aux CRAS | Comptes Rendus Mathématiques, 2005, [n°341/11, pp. 669-674] | Ensembles de Julia quadratiques de mesure de Lebesgue strictement positive | Xavier Buff | 6 | ||
| Pré-article | arXiv math.DS/0604470 | A new proof of a conjecture of Yoccoz, Remarks, New results | Xavier Buff | 10 | ||
| Pré-article | arXiv math.DS/0605514 | Quadratic Julia Sets with Positive Area | Xavier Buff | 23 | ||
| Pré-article | arXiv:0812.1239 | The solar Julia sets of basic quadratic Cremer polynomials |
Xavier Buff
Alexander Blokh Lex Oversteegen |
|||
| Article | Ergodic Theory and Dynamical Systems, 2010, [volume 30, issue 01, pp. 51-65] | The solar Julia sets of basic quadratic Cremer polynomials |
Xavier Buff
Alexander Blokh Lex Oversteegen |
|||
| Mémoire d'habiliation à diriger des recherches | Sur l'implosion parabolique, la taille des disques de Siegel & une conjecture de Marmi, Moussa et Yoccoz | 130 | 1438 KB | |||
| Pré-article | arXiv:0811.2601 | Beltrami forms, affine surfaces and the Schwarz-Christoffel formula: a worked out example of straightening | 32 | |||
| Article | Annals of Mathematics, 2012, [Volume 176, issue 2, pp. 673-746] | Quadratic Julia sets with positive area | Xavier Buff | |||
| In book | Book: "Complex Dynamics, Families and Friends" 2009 [Editor: Dierk Schleicher, Publisher: AK Peters] | The hunt for Julia sets with positive measure | ||||
| Article | Mathematische Annalen, 2011 [Volume 349, Issue 3, pp. 529-542] | Relatively compact Siegel disks with non-locally connected boundaries | ||||
| Review | SMF, 200? [Volume ?] | The Mandelbrot Set, Theme and Variations | ||||
| Review | Foundations of Computational Mathematics: Volume 12, Issue 1 (2012), Page 123-137 | Braverman and Yampolsky: Computability of Julia Sets | ||||
| Annales de l'institut Fourier, 2011 [61 no. 1, pp. 319-350, doi: 10.5802/aif.2603] | A new proof of a conjecture of Yoccoz | Xavier Buff | 32 | |||
| Pré-article | arXiv:0906.1048 | Relatively compact Siegel disks with non-locally connected boundaries | 11 | |||
| Pré-article | arXiv:1111.4629 | Herman's condition and Siegel disks of polynomials | Pascale Roesch | 17 | ||
| Pré-article | arXiv:1202.4188 | Tan Lei and Shishikura's example of non-mateable degree 3 polynomials without a Levy cycle | 35 | |||
| Pré-article | arXiv:1210.5384 | A Proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type | Davoud Cheraghi | 42 | ||
| Pré-article | arXiv:1311.7520 (math.CV) | Proof of a convergence of affine Riemann surfaces to a richer one | 20 | |||
| Annales de la Faculté des Sciences de Toulouse, Mathématiques 2012 [Série 6, Vol. 21, no. 5, pp. 935-980] | Tan Lei and Shishikura's example of non-mateable degree 3 polynomials without a Levy cycle. | 46 | ||||
| Comptes Rendus Mathématiques 2015 [Vol. 353, no. 8, pp. 711-715] | A refinement of the Gauss-Lucas theorem (after W. P. Thurston) | Gao Yan Ou Yafei Tan Lei |
6 | |||
| Inventiones Mathematicae 2015 [Vol. 202, no. 2, pp. 677-742] | A proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type | Davoud Cheraghi | 66 | |||
| Communications in Mathematical Physics 2016 [Vol. 344, no. 2, pp. 397-426] | Herman’s condition and Siegel disks of bi-critical polynomials | Pascale Roesch | 30 | |||
| Science China. Mathematics 2018 [Vol. 61, no. 12, pp. 2139–2156] | Bounded type Siegel disks of finite type maps with few singular values. | Adam Epstein | 18 | |||
| Pré-article | arXiv:1701.03276 | Generic 1-parameter pertubations of a vector field with a singular point of codimension k | Christiane Rousseau | 47 | ||
| Pré-article | arXiv:1809.02586 | Location of Siegel capture polynomials in parameter spaces | Alexander Blokh Lex Oversteegen Vladlen Timorin |
47 | ||
| Pré-article | arXiv:1911.10056 | Smooth Siegel disks everywhere | Artur Ávila Xavier Buff |
39 | ||
| Pré-article | arXiv:2003.13337 | On the size of Siegel disks with fixed multiplier for cubic polynomials | 49 | |||
| In Astérisque 416 (2020) Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz, Volume II | Smooth Siegel disks everywhere | Artur Ávila Xavier Buff |
48 | |||
| Nonlinearity (2021) [Volume 34, Number 4] | Location of Siegel capture polynomials in parameter spaces | Alexander Blokh Lex Oversteegen Vladlen Timorin |
24 | |||
| Arnold Mathematical Journal (2022) [Vol. 8, no. 2, pp. 169–270]. | Near parabolic renormalization for unicritical holomorphic maps | |||||
| Pré-article | arXiv:2212.12614 | Similarity surfaces, connections, and the measurable Riemann mapping theorem | Guillaume Tahar | 95 | ||
| Pré-article | arXiv:2302.12543 | Stiff connections in pseudo-Euclidean manifolds | Guillaume Tahar | 51 |